Loop amplitudes in the Coulomb branch of N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory

Autor: Md. Abhishek, Subramanya Hegde, Dileep P. Jatkar, Arnab Priya Saha, Amit Suthar
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 3, Pp 1-44 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP03(2024)143
Popis: Abstract We study four point planar loop amplitudes at an arbitrary point in the Coulomb branch of N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory. We study two particle unitary cuts up to four loop order. We explicitly verify that bubble and triangle graphs do not contribute at one loop level and show that the results hold at higher loop level as well. We also write down an all loop recursion relation for two particle reducible graphs for four point amplitudes.
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